2cos^2x-sinx+1=0
1+cos2x-sinx+1=0
2sin^2x+sinx-3=0
sinx=a
2a^2+a-3=0
D=1+24=25
t1/2=-1+-5/4=1:-1.5(пост.)
sinx=1
x=pi/2+2pik
Sina-sinb=2sin[(a-b)/2]*cos[(a+b)/2]
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sin2x-sin(π/2-2x)=√2sin3x
2sin(2x-π/4)*cosπ/4=√2*sin3x
2*√2/2*sin(2x-π/4)=√2*sin3x
√2*sin(2x-π/4)=√2*sin3x
sin(2x-π/4)=sin3x
sin(2x-π/4)-sin3x=0
2sin(-x/2-π/8)*cos5x/2-π/8)=0
-2sin(x/2+π/8)*cos(5x/2-π/8)=0
sin(x/2+π/8)=0⇒x/2+π/8=πk⇒x/2=-π/8+πk⇒x=-π/4+2πk,k∈z
cos(5x/2-π/8)=0⇒5x/2-π/8=π/2+πk⇒5x/2=5π/8+πk⇒x=π/4+2πk/5,k∈z
X^2 + 20X + 100 = 4 - 4X + X^2
24X = ( - 96)
<span>X = ( - 4 )</span>